1997/11/12 by A. Harindranath, Rajen Kundu, Asmita Mukherjee +1 · 1 citation
Physics and Astronomy · #Electromagnetic Scattering and Analysis #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1016/s0370-2693(97)01410-x
published as Phys.Lett. B417 (1998) 361-368 · To appear in Physics Letters B
arxiv created 1997/11/12 · openalex publication_date 1998/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the twist four longitudinal structure function FLτ=4 of deep inelastic scattering and show that the integral of FLτ=4 \over x is related to the expectation value of the fermionic part of the light-front Hamiltonian density at fixed momentum transfer. We show that the new relation, in addition to providing physical intuition on FLτ=4, relates the quadratic divergences of FLτ=4 to the quark mass correction in light-front QCD and hence provides a new pathway for the renormalization of the corresponding twist four operator. The mixing of quark and gluon operators in QCD naturally leads to a twist four longitudinal gluon structure function and to a new sum rule ∫ dx FL \over x= 4 M2 \over Q2, which is the first sum rule obtained for a twist four observable. The validity of the sum rule in a non-perturbative context is explicitly verified in two-dimensional QCD.